Results 11 to 20 of about 19,461 (275)
HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS [PDF]
International Journal of Bifurcation and Chaos, 2013 From a computational point of view, in nonlinear dynamical systems, attractors can be regarded as self-excited and hidden attractors. Self-excited attractors can be localized numerically by a standard computational procedure, in which after a transient process a trajectory, starting from a point of unstable manifold in a neighborhood of equilibrium ...
Leonov, G. A., Kuznetsov, N. V.
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A Symmetric Controllable Hyperchaotic Hidden Attractor [PDF]
Symmetry, 2020 By introducing a simple feedback, a hyperchaotic hidden attractor is found in the newly proposed Lorenz-like chaotic system. Some variables of the equilibria-free system can be controlled in amplitude and offset by an independent knob. A circuit experiment based on Multisim is consistent with the theoretic analysis and numerical simulation.
Xin Zhang +4 more
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Axioms, 2022 In this paper, a chaotic system with surface equilibrium and a hidden attractor was studied, and the dynamical behavior, synchronization scheme and circuit application of the system were analyzed.
Runhao Zhang +3 more
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Complexity, 2021 This work is dedicated to the study of an approach that allows the generation of hidden attractors based on a class of piecewise-linear (PWL) systems. The systems produced with the approach present the coexistence of self-excited attractors and hidden ...
R. J. Escalante-González, Eric Campos
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Fractal and Fractional, 2022 The study of hidden attractors plays a very important role in the engineering applications of nonlinear dynamical systems. In this paper, a new three-dimensional (3D) chaotic system is proposed in which hidden attractors and self-excited attractors ...
Jiahui Wang, Chengwei Dong, Hantao Li
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Axioms, 2022 In this paper, hidden dynamical behaviors in a novel fractional-order hyperchaotic system without an equilibrium point are investigated. It is found that the chaotic system exhibits various hidden behaviors for different parameters, such as the ...
Li Xin, Xuerong Shi, Mingjie Xu
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IEEE Access, 2021 A chameleon chaotic system is a chaotic system in which the chaotic attractor can change between hidden and self-excited attractor depending on the values of parameters.
Saleh Mobayen +3 more
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Hidden Dynamics and Hybrid Synchronization of Fractional-Order Memristive Systems
Axioms, 2022 A fractional-order memristive system without equilibrium is addressed. Hidden attractors in the proposed system are discussed and the coexistence of a hidden attractor is found.
Haipeng Jiang +3 more
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Multistability: Uncovering hidden attractors [PDF]
The European Physical Journal Special Topics, 2015 This topical issue collects contributions exemplifying the recent scientific progress in understanding the dynamics of multistable systems. The individual papers focus on different questions of present day interest in theory and applications of systems with multiple attractors.
T. Kapitaniak, G. A. Leonov
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Dynamical Behavior of a New Chaotic System with One Stable Equilibrium
Mathematics, 2021 This paper reports a simple three-dimensional autonomous system with a single stable node equilibrium. The system has a constant controller which adjusts the dynamic of the system.
Vijayakumar M.D. +4 more
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